Multiple choice

The efficiencies of A, B and C are in the ratio 2 : 5 : 3. Working together, they can complete a task in 12 days. In how many days can A alone complete 30% of that task?

  1. 15

  2. 16

  3. 20

  4. 18
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Efficiencies A:B:C = 2:5:3. Total = 10 units/day. Total work = 10 * 12 = 120 units. 30% of work = 36 units. A's efficiency = 2 units/day. Time for A = 36 / 2 = 18 days.

AI explanation

Given the efficiency ratio of A, B, and C is 2:5:3, their combined efficiency is 10 units per day. At this rate, the total work is calculated as 10 units per day multiplied by 12 days, yielding 120 total units. A alone has an efficiency of 2 units per day, so 30 percent of the 120 units equals 36 units. Dividing this 36 units of work by A's daily capacity of 2 units gives 18 days.

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